Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
446 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 75 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #19140767 | C2 | semidirect |
| 4. #19132502 | C2 | semidirect |
| 5. #19132480 | C2 | semidirect |
| 6. #19132447 | C2 | semidirect |
| 52. C22×D4×C43 | Q8 | semidirect |
| 59. C2×C4⋊C4×C43 | Q8 | semidirect |
| 236. C43 | #10382 | semidirect |
| 239. C22×D4 | Dic86 | semidirect |
| 251. C2×C4⋊C4 | Dic86 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140767 | 2 |
| #19135432 | 2 |
| #19133111 | 2 |
| #19132502 | 2 |
| #19132480 | 2 |
| #19132447 | 2 |
| C43×#1510 | 2 |
| #10382 | 43 |